Answer:
The number of ways to distribute 30 batteries among the six different types is 33,649.
Step-by-step explanation:
It is provided that a camera shop stocks six different types of batteries, one of which is type A7b.
Also, the camera shop has only twelve A7b batteries but at least 30 of each of the other types.
Combinations would be used to determine the number of ways to distribute 30 batteries among the six different types. Here repetition is allowed.
[tex]C(n+r-1, r)={n+r-1\choose r}=\frac{(n+r-1)!}{r!(n-1)!}[/tex]
The number of A7b batteries is 12.
Then the number of ways to distribute 30 batteries among the six different types is:
[tex]C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}[/tex]
The number of ways is:
[tex]C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}[/tex]
[tex]=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}\\\\=\frac{(6+(30-12)-1)!}{(30-12)!\times (6-1)!}\\\\=\frac{23!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19\times 18!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19}{ 5!}\\\\=33649[/tex]
Thus, the number of ways to distribute 30 batteries among the six different types is 33,649.
use pythagorean theorem to find the length of the hypotenuse in the triangle shown below 11 and 60
Answer: The value of the hypotenuse is 61.
Step-by-step explanation:
So we are given a triangle with two known sides; two legs with values of 11 and 60. We have to use the Pythagorean Theorem to find the value of the hypotenuse.
The Pythagorean Theorem states that, "the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".
This means that:
a^2 + b^2 = c^2
leg^2 + leg^2 = hypotenuse^2
So just by looking at that, we know that we can just substitute the values in:
11^2 + 60^2 = x^2
121 + 3600 = 3721
sqrt of 3721 = 61
So the hypotenuse value is 61.
A bank is designing a new branch office and needs to determine how much driveway space to allow for cars waiting for drive-up teller service. How many spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars
This question is incomplete, the complete question is;
A bank is designing a new branch office and needs to determine how much driveway space to allow for cars waiting for drive-up teller service.
The drive-up service will have three tellers and a single waiting line. At another branch of the bank in a similar setting, the average service time for drive-up tellers is four minutes per customer, and average arrival rate is 36 customers per hour. It is expected that the new bank will have similar characteristics.
How many spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars?
Answer:
Eleven (11) spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars
Step-by-step explanation:
Given that:
the average service time for drive-up tellers is four (4) minutes per customer at each branch
Average number of customers per hour is 36
Therefore for 36 customers,
the branch can give ( 36 / 4 ) = 9, mins each customer
from the question, there is a probability of 96%
so we will calculate on the 9 as mentioned above
96% of 9 = 0.96
0.96 × 9= 8.64
If there are 3 tellers in a single line- , then
8.64 + 3 = 11.64 approximately 11
Therefore Eleven (11) spaces should be provided to have a 96 percent probability of accommodating all of the waiting cars
i need alot of help. (ALGEBRA)
Answer:
Award brainliest to this answer
Step-by-step explanation:
1: Lcm is 210 and GCF is 1
2: Lcm is 12 and Gcf is 3
3: LCM is 352 and Gcf is 4
4:LCM is 840 and Gcf is 1
5: LCM 108 and Gcf is 9
6: Lcm is 660 and Gcf is 1
7: Lcm is 840 and Gcf is 2
8: Lcm is 60 and Gcf is 30
9: Lcm is 1512 and Gcf is 1
10: Lcm is 176 Gcf is 4
11: Lcm is 2030 and Gcf is 1
12: Lcm 116 and Gcf is 2
Also, I'm am rather sure in which the veracity of the entailment that this is algebra is incorrect.
15 ‒ 5x = 6x + 3 – 2x
Answer:
x = 4/3
Step-by-step explanation:
15 - 5x = 6x + 3 - 2x
In this kind of equation, we try to seperate the x's and the numbers.
So we add 5x to both sides and subtract 3 from both sides to seperate these values
15 - 3 - 5x + 5x = 6x + 3 - 3 - 2x + 5x
=> 12 = 9x
=> 12/9 = x
=> 4/3 = x
=> x = 4/3
To check, we can plug this in.
15 - 5(4/3) = 6(4/3) + 3 - 2(4/3)
15 - 20/3 = 24/3 + 3 - 8/3
45/3 - 20/3 = 24/3 + 9/3 - 8/3
25/3 = 25/3
So our answer works.
Differentiation formula
y=(4x+6)^9
Answer:
y = (4x + 6)^9
dy/dx = d(4x +6)^9/dx
using chain rule
[tex]\frac{d(4x + 6)^9}{d(4x+6}[/tex] X [tex]\frac{d(4x + 6)}{dx}[/tex]
[tex]9(4x + 6)^{8}[/tex] X 4
36(4x + 6)^8
(144x + 216)^8
2.123x10^3 I need help fast
Answer:
2123
Step-by-step explanation:
10^3 is the same as 1000. 2.123 times 1000 is 2123
A......... divides a two-dimensional shape into two congruent shapes
Answer:
A diagonal
Step-by-step explanation:
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.
Ya
f(x) = g(x)
-3x+4 = g(x) ... f(x) replaced with -3x+4
-3x+4 = 2 .... g(x) replaced with 2
-3x+4-4 = 2-4 .... subtract 4 from both sides
-3x = -2
-3x/(-3) = -2/(-3) .... divide both sides by -3
x = 2/3
Answer: 2/3A trader bought 60 article for N25000 and sold them at N6000 per dozen.
(i) find the total profit
(ii) find the percentage profit
(c) Find the principal which amounts to N2736 in 3 1/2 years at 4% simple interest
Step-by-step explanation:
N6000×5=N30000
1)N30000-N25000=N5000
2)N5000÷N25000×100℅=20℅
PLEASE ANSWER
-It took Clare 30 minutes to walk around the garden at a constant speed. At what speed was she walking?
Answer:
7.5 speed
Step-by-step explanation:
because there are 4 corner in a garden so we will divide 30 min ÷4
Which sequence is geometric?
1, 5, 9, 13,
2. 6, 8, 10,
5, 7, 9, 11,
ОО
4. 3. 16. 32
Please help
What is the value of k?
Answer:
30°
Step-by-step explanation:
k and 30° are vertical angles
Therefore, k = 30°
Solve for m c = amt must be one term
Find the equation of the line that goes through (2,9) and (-1,5) in point-slope form
Answer:
y-9=4/3(x-2)
Step-by-step explanation:
First, find your slope:
The formula for finding slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Our coordinate point for our x₁ and y₁ values will be (2,9) and our coordinate point for our x₂ and y₂ values will be (-1,5). Now, let's plug those into our formula:
[tex]m=\frac{5-9}{-1-2}=\frac{-4}{-3}=\frac{4}{3}[/tex]
Your slope is 4/3.
Next, plug in your x₁ and y₁ values in for point-slope form. The equation in variable form is "y-y₁=m(x-x₁)". So, plugging in our point (2,9) for x₁ and y₁, we get:
y-9=4/3(x-2)
what is 7(3x+5y) simplify .
Answer:
21x +35y
Step-by-step explanation:
7(3x+5y)
Distribute
21x +35y
Answer:
7(3x + 5y) = 0 (3x * 7 + 5y * 7) = 0 (21x + 35y) = 0 Solving 21x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms ...
Step-by-step explanation:
Assume two independent random samples are available which provide sample proportions. For the first sample assume n1= 100 and x1= 39. For the second sample, assume n2= 100 and x2= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth.
a) z-value = -1.425 p-value= 0.077 statistically significant
b) z-value = 1.425 p-value= 0.077 not statistically significant
c) z-value = 1.425 p-value= 0.077 statistically significant
d) z-value = -1.425 p-value= 0.1543 not statistically significant
Answer:a) z-value = -1.425 p-value= 0.077 statistically significant
Step-by-step explanation:
Given the following :
n1 = 100; x1 = 39 ; n2 = 100 ; x2 = 49
Z value for two independent samples can be obtained using the relation :
Z = (p1 - p2) /(√p(1-p)) * (√[(1/n1) + (1/n2)]
Z = -1.425
P-value : using the online p-value calculator at a confidence level of 90% from z score
Obtained p value = 0.077079
The p value is less than 0.1 , hence result is significant at p<0.10
Translate into a variable expression.
fifteen more than one-half of the square of z
Answer:
15 +(1/2)X z²
this is your expression plz brainlist me and follow me
plzz help me and explain
Answer:
the area is: 90 square inches
Step-by-step explanation:
Since you use the same amount of material to create the rectangle, that means that the area of a parallelogram has the same formula as the area of a rectangle. That is:
Area of parallelogram = base x height
In our case: 9 in x 10 in = 90 square inches
4. Order the numbers from least to greatest.
√5, 5, 2.5. Ja
Answer:
√5 < 2.5 < 5
Step-by-step explanation:
√5= 2.23
therefore,
√5 < 2.5 < 5
Find the missing number in this proportion 10/15=?/21
Answer:
x = 14
Step-by-step explanation:
Using cross products
10 x
----- = --------------
15 21
10*21 = 15x
210 = 15x
Divide each side by 15
210/15 =x
14 =x
There are 4 roses in a vase of 13 flowers the rest are daisies what is the ratio of all flowers in the vase to daises
Answer:
The ratio is 13:9
Step-by-step explanation:
Since the rest of the flowers in the vase are daisies, subtract the 4 roses from the 13 flowers. 13 - 4 = 9
There will be 9 daisies in the vase in total. Then they are asking for you to put the ratio of the total flowers to the daisies.
Total Flower = 13
Daisies = 9
The ratio would be 13 to 9.
The ratio of all flowers in the vase to daises is [tex]13:9[/tex]
Let the flowers be F.Let the daisies be D.Given the following data:
Number of roses = 4 rosesNumber of flowers = 13 flowersTo determine the ratio of all flowers in the vase to daises:
First of all, we would solve for the number of daisies in the vase of flowers.
[tex]Number\;of\;daisies = 13-4[/tex]
Number of daisies = 9 daisies.
Now, we can find the ratio of all flowers in the vase to daises:
[tex]Ratio = F:D\\\\Ratio = 13:9[/tex]
Read more: https://brainly.com/question/18676621
The independent variable of interest in an ANOVA procedure is called a a. partition. b. factor. c. treatment. d. response.
Answer:
Option b (factor) is the correct choice.
Step-by-step explanation:
ANOVA would be used to assess whenever there were other statistically representative variations seen between results of two or even more individual (totally unconnected) categories.
Two different kinds of independent variables exist such as:
ActiveReferenceIf the explanatory variables are such an effective variable otherwise we modify the argument of the variable to test its effect on something like a specific parameter.
Certain solutions don't apply to the specified scenario. So choice B was its perfect method for that.
I have to write 20 characters to ask this quesiton
Answer:
You should check off boxes 1, 2, 5, and 6
Step-by-step explanation:
These are all irrational numbers because their decimal places go on indefinitely.
A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
14.9 miles
Step-by-step explanation:
If the road was created, the 3 different roads would form a right triangle where the new road would be the hypotenuse and the other 2 roads would be the legs.
We can use the pythagorean theorem to find the length of the hypotenuse, or the new road:
a² + b² = c²
14² + 5² = c²
221 = c²
14.9 = c
= 14.9 miles
A certain factory produces and sells 800080008000 cars per month, making a monthly net profit of PPP dollars. They sell each car for nnn dollars and it costs them ccc dollars to produce a single car. Write an equation that relates PPP, nnn, and ccc.
Answer:
P = 8000*(n -c)
Step-by-step explanation:
Profit is the difference between cost and selling price.
For 8000 cars produced per month, the profit will be:
P = 8000*(n -c)Which digit is the hundred place in the number of 742.891
Answer:
7
Step-by-step explanation:
if you meant hundredths it would be 9, but 7 is in the hundreds place
Error Analysis The solution shown for the equation is
incorrect. What is the correct solution? What is the error?
-7(2-1) - 21
-14-7-21
- 7 = 35
r-5
The solution is (Type the value of r)
Answer:
-28
Step-by-step explanation:
-7 (2-1)-21
-7 (2-1)=-7
-7-21=-28
71 x 103 in scientifc notation
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
7.313×10^3
Step-by-step explanation:
write the equation of the line in slope intercept form that passes through (10,21) and (15,36)
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Plug in the points:
(36 - 21) / (15 - 10)
15/5
= 3
Next, plug the slope and a point into the equation y = mx + b to find b (y-int)
y = mx + b
21 = 3(10) + b
21 = 30 + b
-9 = b
Then, plug this into the equation, as well as the slope:
y = 3x - 9
Jayden uses the net below to design a box. A net with 4 rectangles and 2 squares. The rectangles measure 6 feet by 4 feet and the squares have side lengths of 4 feet. How much cardboard will Jayden need to make the box? A. 60 ft2 B. 96 ft2 C. 128 ft2 D. 144 ft2
Answer:
C .128 ft²
Step-by-step explanation:
net with 4 rectangles and 2 squares.
The rectangles measure 6 feet by 4
Area of the rectangle=6*4
Area of the rectangle= 24.ft²
Total area of the rectangle= 4*24.
Total area of the rectangle= 96 ft²
the squares have side lengths of 4 feet.
Area of tge square= 4²
Area of the square= 16ft²
Total area of the square= 16*2
Total area of the square= 32 ft²
Total area of the cardboard needed
= Area of square + Are of rectangle
= 32+96
= 128 ft²